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Finding the Fourth Proportional to 374,134,464,012.20, 561,201,696,018.30 and 374,134,464,012.20

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Solution

The fourth proportional to 374,134,464,012.20, 561,201,696,018.30 and 374,134,464,012.20 is: 561,201,696,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,134,464,012.20 : 561,201,696,018.30 = 374,134,464,012.20 : x
  2. Step 2: Convert to fraction form
    374,134,464,012.20/561,201,696,018.30 = 374,134,464,012.20/x
  3. Step 3: Cross multiply
    374,134,464,012.20x = 561,201,696,018.30 × 374,134,464,012.20
  4. Step 4: Simplify right side
    374,134,464,012.20x = 209,964,895,742,544,293,396,480
  5. Step 5: Solve for x
    x = 209,964,895,742,544,293,396,480/374,134,464,012.20
  6. Step 6: Final answer
    x = 561,201,696,018.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.